Line p passes through points (8, 13) and (10, 4). Line q is parallel to line p. What is the slope of line q?

The slope of line p can be found by using the formula:

slope = (change in y) / (change in x)

The change in y is the difference in y-coordinates of the two given points: 4 - 13 = -9.
The change in x is the difference in x-coordinates of the two given points: 10 - 8 = 2.

So, the slope of line p is: (-9) / 2 = -4.5.

Since line q is parallel to line p, it will have the same slope. Therefore, the slope of line q is also -4.5. Answer: \boxed{-4.5}.